I need this math Problem answered

Question

Find the product of two consecutive odd integers is 420 more than three times the smaller integer. Find both integers

Answer 1

Consecutive odd integers are separated by 2, so the integers are

n

n + 2

n(n + 2) = 3n + 420

n² + 2n = 3n + 420

n² - n - 420 = 0

(n - 21)(n + 20) = 0

n = 21 or -20, but you want only odd solutions, so

n = 21

n + 2 = 23

Test the answer.